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Finding the Third Proportional to 48,090 and 64,183.50

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Solution

The third proportional to 48,090 and 64,183.50 is: 85,662.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,090 : 64,183.50 = 64,183.50 : x
  2. Step 2: Convert to fraction form
    48,090/64,183.50 = 64,183.50/x
  3. Step 3: Cross multiply
    48,090x = 64,183.50 × 64,183.50
  4. Step 4: Simplify right side
    48,090x = 4,119,521,672.25
  5. Step 5: Solve for x
    x = 4,119,521,672.25/48,090
  6. Step 6: Final answer
    x = 85,662.75

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.